find all local max,min and/or saddle point of f(x,y)=4+x^3+y^-3xy

find all local max,min and/or saddle point of f(x,y)=4+x^3+y^-3xy

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would you plz write the function using equation

hmm, something to do with:\[f_{xy}f_{yx}-(f_{xx})^2\]
or did i recall that incorrectly?

almost had it :)
\[f_{xx}f_{yy}-(f_{xy})^2\]

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